Search a number
-
+
1220102222020 = 22511101131419161
BaseRepresentation
bin10001110000010011110…
…000100111000011000100
311022122022000120210110221
4101300103300213003010
5124442232132101040
62332301320554124
7154102161525223
oct21602360470304
94278260523427
101220102222020
11430495995020
12178569922944
138b094203636
14430a621ccba
1521b0e8e974a
hex11c13c270c4

1220102222020 has 96 divisors (see below), whose sum is σ = 2844372972672. Its totient is φ = 435926400000.

The previous prime is 1220102222011. The next prime is 1220102222041. The reversal of 1220102222020 is 202222010221.

It is a junction number, because it is equal to n+sod(n) for n = 1220102221985 and 1220102222003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2701240 + ... + 3120400.

It is an arithmetic number, because the mean of its divisors is an integer number (29628885132).

Almost surely, 21220102222020 is an apocalyptic number.

1220102222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220102222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422186486336).

1220102222020 is an abundant number, since it is smaller than the sum of its proper divisors (1624270750652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1220102222020 is a wasteful number, since it uses less digits than its factorization.

1220102222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419413 (or 419411 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1220102222020 its reverse (202222010221), we get a palindrome (1422324232241).

The spelling of 1220102222020 in words is "one trillion, two hundred twenty billion, one hundred two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 131 202 220 262 404 505 524 655 1010 1111 1310 1441 2020 2222 2620 2882 4444 5555 5764 7205 11110 13231 14410 22220 26462 28820 52924 66155 132310 145541 264620 291082 419161 582164 727705 838322 1455410 1676644 2095805 2910820 4191610 4610771 8383220 9221542 18443084 23053855 42335261 46107710 54910091 84670522 92215420 109820182 169341044 211676305 219640364 274550455 423352610 465687871 549100910 604011001 846705220 931375742 1098201820 1208022002 1862751484 2328439355 2416044004 3020055005 4656878710 5545919191 6040110010 9313757420 11091838382 12080220020 22183676764 27729595955 55459191910 61005111101 110918383820 122010222202 244020444404 305025555505 610051111010 1220102222020